Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2008-03-03
J. Chem. Phys. 129, 024114 (2008)
Physics
Condensed Matter
Statistical Mechanics
published in J. Chem. Phys.: http://link.aip.org/link/?JCPSA6/129/024114/1
Scientific paper
10.1063/1.2948948
For systems in an externally controllable time-dependent potential, the optimal protocol minimizes the mean work spent in a finite-time transition between two given equilibrium states. For overdamped dynamics which ignores inertia effects, the optimal protocol has been found to involve jumps of the control parameter at the beginning and end of the process. Including the inertia term, we show that this feature not only persists but that even delta peak-like changes of the control parameter at both boundaries make the process optimal. These results are obtained by analyzing two simple paradigmatic cases: First, a Brownian particle dragged by a harmonic optical trap through a viscous fluid and, second, a Brownian particle subject to an optical trap with time-dependent stiffness. These insights could be used to improve free energy calculations via either thermodynamic integration or "fast growth" methods using Jarzynski's equality.
Gomez-Marin Alex
Schmiedl Tim
Seifert Udo
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